136572378808320 has 4224 divisors, whose sum is σ = 656614443663360. Its totient is φ = 26418075402240.

The previous prime is 136572378808181. The next prime is 136572378808331. The reversal of 136572378808320 is 23808873275631.

136572378808320 is a `hidden beast` number, since 1 + 3 + 6 + 572 + 37 + 8 + 8 + 0 + 8 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4405560606705 + ... + 4405560606735.

Almost surely, 2^{136572378808320} is an apocalyptic number.

136572378808320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136572378808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328307221831680).

136572378808320 is an abundant number, since it is smaller than the sum of its proper divisors (520042064855040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

136572378808320 is an frugal number, since it uses more digits than its factorization.

136572378808320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 136572378808320 in words is "one hundred thirty-six trillion, five hundred seventy-two billion, three hundred seventy-eight million, eight hundred eight thousand, three hundred twenty".